Heat Transfer By Unsteady Laminar Mixed Convection In 2-D Ventilated Enclosures Using The Vorticity-stream Function Formulation
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S. Boudebous & Z. Nemouchi
In this work, a numerical study is presented of mixed laminar convection in ventilated enclosures. The left vertical wall of enclosure is maintained at a constant temperature greater than that of the fluid at entry, while the other walls are adiabatic. Two cases of ventilation are considered. In the first case, the fluid enters from the bottom left corner and leaves the domain through the right upper corner. In the second case, the fluid enters from the bottom left corner and leaves the domain through the middle of the upper wall. The equations governing the phenomenon are discretised using the finitedifference method. A computer programme is developed to simulate the flow behaviour and the heat transfer in the enclosure. Velocity and temperature fields are obtained. These numerical simulations are performed for a Grashof number of 106, a Prandlt number of 0.7 and three values of the Richardson number (0.5, 5, and 25) Keywords: mixed convection, vorticity-stream function formulation, square enclosure, numerical method. 1 Introduction An interesting review on natural convection in enclosures can be found in Fusegi and Hyun . Concerning the subject of the present work, numerous investigations have been reported. We can cite as examples: Unsteady 2-D hot water flow for energy extraction from a storage system, Cha and Jaluria  with cold water inlet at the bottom of the left vertical wall and hot water exit at the top of the same or opposite wall. Unsteady 2-D flow of air, Raji
mixed convection, vorticity-stream function formulation, square enclosure, numerical method.